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2010 | 118 | 1 | 45-48
Article title

Diagnostic Inferring on the Bases of Nonlinear Models

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EN
Abstracts
EN
Physical phenomena accompanying destruction processes of technical systems are nonlinear and "low-energetic" by nature, while during wearing out mainly a nonlinear disturbance changes. Out of many inference techniques - on the observation basis of the state of the system - the best one is undoubtedly the well-defined mathematical model, allowing inferring `backwards' and `forward', which means finding the genesis and prognosis of the phenomenon. However, such model should be nonlinear. Problems related to the identification of nonlinear dynamic models in a frequency domain and a proposition of solving this problem for the needs of technical diagnostics, i.e. in situations when the observed wear out effects are significantly smaller than the dynamic effects - are discussed in the hereby paper. The bases of the proposed method constitute the discussion of possible solutions of a certain class of nonlinear differential equations and resulting from that statements on the possibility of nonlinear disturbance approximations by a series of the selected harmonic frequencies.
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Contributors
author
  • Faculty of Automotive and Construction Machinery Engineering, Warsaw University of Technology, Narbutta 84, 02-524 Warsaw, Poland
References
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  • 2. W. Batko, Z. Dąbrowski, J. Kiciński, Nonlinear effects in technical diagnostics, Publishing and Printing House of the Institute for Sustainable Technologies - NRI, Warsaw 2008, p. 303
  • 3. I. Komorska, Study on the effect of assembly errors on the vibration of serial transfer power systems, Ph.D. Thesis, Warsaw University of Technology, Warsaw 1999 (in Polish)
  • 4. J. Pankiewicz, Use of non-linear effects in diagnosing of viscoelastic elements, Ph.D. Thesis, Warsaw University of Technology, Warsaw 2002 (in Polish)
  • 5. Diagnostic Engeneering, Eds. B. Żółtowski, C. Cempel, Publishing and Printing House of the Instytute for Sustainable Technologies - NRI, Radom 2004, p. 1308 (in Polish)
  • 6. Z. Osiński, Dumping of vibration, Polish Scientific Publishers PWN, Warsaw 1997 (in Polish)
  • 7. Z. Engel, Environmental protection from vibrations and noise, Polish Scientific Publishers PWN, Warsaw 2001 (in Polish)
  • 8. J.A. Mitropolskij, G.P. Homa, Matemacziskoje obosnowanije asimptoticzeskich metodow nieliniejnoj mechaniki, Naukowaja Dumka, Kijev 1983 (in Russian)
  • 9. Z. Dąbrowski, in: Modeling and identification of nonlinear system for technical diagnostics, The 8th International Congress on Sound and Vibration, Hong Kong (China) 2001 p. 1083
  • 10. J. Dziurdź, W.W. Skórski, Diagnostyka 1, 63 (2009)
  • 11. W. Batko, Problems of Machines Operation and Maintenance 3 ( 151), 147 (2007)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv118n110kz
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